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Atlas › Integer Profiles › Node 24,226,280

24,226,280

23 × 5 × 13 × 46589
Abundant Even Composite

24,226,280 factors as 2^3 × 5 × 13 × 46589. Its 32 positive divisors give a proper-divisor sum of 34,477,120, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 46589
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,703,400
Proper Divisor Sum 34,477,120
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #24226277 ← → #24226303

Radix Representation

Decimal 24226280
Binary 1011100011010100111101000 (25 bits)
Octal 0o134324750
Hexadecimal 0x171A9E8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 46,589 93,178 186,356 232,945 372,712 465,890 605,657 931,780 1,211,314 1,863,560 2,422,628 3,028,285 4,845,256 6,056,570 12,113,140 24,226,280

Collatz Trajectory (92 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

24,226,280 12,113,140 6,056,570 3,028,285 9,084,856 4,542,428 2,271,214 1,135,607 3,406,822 1,703,411 5,110,234 2,555,117 7,665,352 3,832,676 1,916,338 958,169 2,874,508 1,437,254 718,627 2,155,882 1,077,941 3,233,824 1,616,912 808,456 404,228 202,114 101,057 303,172 151,586 75,793 227,380 113,690 56,845 170,536 85,268 42,634 21,317 63,952 31,976 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712

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